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202100000059 is a prime number
BaseRepresentation
bin1011110000111000011…
…0010100010100111011
3201022122200210202000101
42330032012110110323
511302400100000214
6232502104220231
720413140441106
oct2741606242473
9638580722011
10202100000059
117878a1aa341
1233202a6a677
131609a40a069
149ad2d6b73d
1553cc9db774
hex2f0e19453b

202100000059 has 2 divisors, whose sum is σ = 202100000060. Its totient is φ = 202100000058.

The previous prime is 202099999973. The next prime is 202100000077. The reversal of 202100000059 is 950000001202.

202100000059 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 202100000059 - 29 = 202099999547 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 202099999991 and 202100000045.

It is not a weakly prime, because it can be changed into another prime (202100000099) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 101050000029 + 101050000030.

It is an arithmetic number, because the mean of its divisors is an integer number (101050000030).

Almost surely, 2202100000059 is an apocalyptic number.

202100000059 is a deficient number, since it is larger than the sum of its proper divisors (1).

202100000059 is an equidigital number, since it uses as much as digits as its factorization.

202100000059 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 180, while the sum is 19.

The spelling of 202100000059 in words is "two hundred two billion, one hundred million, fifty-nine", and thus it is an aban number.